What is the Least Common Multiple of 83278 and 83288?

Least common multiple or lowest common denominator (lcd) can be calculated in two way; with the LCM formula calculation of greatest common factor (GCF), or multiplying the prime factors with the highest exponent factor.

Least Common Multiple of 83278 and 83288 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 83278 and 83288, than apply into the LCM equation.

GCF(83278,83288) = 2
LCM(83278,83288) = ( 83278 × 83288) / 2
LCM(83278,83288) = 6936058064 / 2
LCM(83278,83288) = 3468029032

Least Common Multiple (LCM) of 83278 and 83288 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 83278 and 83288. First we will calculate the prime factors of 83278 and 83288.

Prime Factorization of 83278

Prime Factorization of 83288

Now multiplying the highest exponent prime factors to calculate the LCM of 83278 and 83288.

LCM(83278,83288) = 2³ × 13¹ × 3203¹ × 29¹ × 359¹
LCM(83278,83288) = 3468029032